complement of the null hypothesisstatement that must be true if H0 is false and it contains a statement of strict inequality (greater than, less than, not equal to)

denotes the level of significance of a hypothesis test, and it is the probability of committing a type I error

null and alternativeThe null hypothesis H0 is a statistical hypothesis that contains a statement of equality, such as ≤, =, or ≥.The alternative hypothesis Ha is the complement of the null hypothesis. It is a statement that must be true if H0 is false and it contains a statement of strict inequality, such as >, ≠, or They are complements

False. A small P-value in a test will favor a rejection of the null hypothesis.The smaller the P-value of the test, the more evidence there is to reject the null hypothesis.

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false. If you want to support a claim, write it as your alternative hypothesis.A hypothesis test can only reject or fail to reject the null hypothesis. Failing to reject the null hypothesis does not mean that the null hypothesis is true. So to support a claim, the desired result of the test would be to reject the opposite of that claim. Thus, the opposite of the claim should be stated as the null hypothesis, and the claim should be the alternative hypothesis.

Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha.mu greater than or equals 568

Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha.sigma = 3

A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.H0:σ ≥ 66Ha: σ

always determined by Ha-less than (L tail), greater than (R tail), not equal to (split tail)left-tailed test

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is less than 9 hours.

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